An Approach for Certifying Homotopy Continuation Paths
Author:
Affiliation:
1. Beihang University, Beijing, China
2. Clemson University, Clemson, SC, USA
3. New York University, New York City, NY, USA
Funder
Simons Foundation
National Science Foundation
Publisher
ACM
Link
https://dl.acm.org/doi/pdf/10.1145/3208976.3209010
Reference23 articles.
1. D. J. Bates J. D. Hauenstein A. J. Sommese and C. W. Wampler. BertiniTM: Software for numerical algebraic geometry. https://bertini.nd.edu 2013. D. J. Bates J. D. Hauenstein A. J. Sommese and C. W. Wampler. BertiniTM: Software for numerical algebraic geometry. https://bertini.nd.edu 2013.
2. Complexity Analysis of Root Clustering for a Complex Polynomial
3. A near-optimal subdivision algorithm for complex root isolation based on the Pellet test and Newton iteration
4. Certified Numerical Homotopy Tracking
Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Efficient and Validated Numerical Evaluation of Abelian Integrals;ACM Transactions on Mathematical Software;2023-12-18
2. Using monodromy to recover symmetries of polynomial systems;Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation;2023-07-24
3. Clustering Complex Zeros of Triangular Systems of Polynomials;Mathematics in Computer Science;2020-06-17
4. A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation;SIAM Journal on Scientific Computing;2020-01
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3